SOLUTION: GRAPH THE EQUATION y = 1/2x + 3/2 2) y = x + 2 x + 2y = 16 x= __________ y=_______ 3) 2x = 5y - 3 6x - 15y = -3 4) 5X - 2Y = 36 3X + 4Y = 6

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Question 212783: GRAPH THE EQUATION y = 1/2x + 3/2
2) y = x + 2
x + 2y = 16 x= __________ y=_______
3) 2x = 5y - 3
6x - 15y = -3
4) 5X - 2Y = 36
3X + 4Y = 6
Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!
GRAPH THE EQUATION y = 1/2x + 3/2
2) y = x + 2
x + 2y = 16 x= __________ y=_______
3) 2x = 5y - 3
6x - 15y = -3
4) 5X - 2Y = 36
3X + 4Y = 6
Since I didn't understand what you wrote, I answered some of the problems as best as I can in what you meant.

Step 1. Just a quick note. When you have an equation just plot two points x=0 and find y using the equation and x=0 and find x using the equation. Then draw a line between two point.
Graph y = 1/2x + 3/2
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation describes a sloping line. For any
equation ax+by+c = 0, slope is .
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 1.5/-0.5 = -3.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 1.5/1 = 1.5.
  • Slope is --0.5/1 = 0.5.
  • Equation in slope-intercept form: y=0.5*x+1.5.



Step 2. The following will solve y = x + 2

x + 2y = 16 x= __________ y=_______. Rewrite y=x+2 as -x+y=2

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
We'll use substitution. After moving 1*y to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that y=6. Since , x=4.

Answer: .



Step 3. The following will solve 3) 2x = 5y - 3, 6x - 15y = -3

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
We'll use substitution. After moving 5*y to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that y=-6=0. Since , x=-16.5.

Answer: .



Step 4. The following will solve 5X - 2Y = 36, 3X + 4Y = 6

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
We'll use substitution. After moving -2*y to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that y=-3. Since , x=6.

Answer: .




I hope the above steps were helpful.

And good luck in your studies!

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Respectfully,
Dr J
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